Email this article SOLVING SYSTEM OF NONLINEAR EQUATIONS BY THE THIRD – ODER NEWTON – KRYLOV METHOD
About this article
Received: 21/02/20 Revised: 04/03/20 Published: 29/05/20Authors
1. Lai Van Trung
, TNU - University of Information and Communication Technology2. Hoang Phuong Khanh, TNU - University of Information and Communication Technology
3. Quach Mai Lien, TNU - University of Information and Communication Technology
4. Nguyen Viet Hoang, Thai Nguyen Pedagogy College
Abstract
When solving problems in practice, constraints are often formulated as a system of nonlinear equations. The exact solution of these systems of equations is difficult, and there are even systems of equations for which we cannot find an exact solution. Therefore, the problem of approximate solution of this problem is very necessary. In this paper, we present solving the system of nonlinear equations by third-order Newton - Krylov method, and prove the convergence of iterative formula. This paper also presents some empirical results for the problem.
Keywords
Full Text:
PDF (Tiếng Việt)References
[1]. I. K. Argyros, Convergence and Applications of Newton type iterations. Springer Science + Business Media LLC, 233 Spring Street New York, NY 10013, U.S.A, 2008.
[2]. J. M. Gutierrez, and M. A. Hernandez, “A family of Chebyshev-Halley type methods in Banach spaces,” Bull. Austral. Math. Soc., vol. 55, pp. 113-130, 1997.
[3]. M. Frontini, and E. Sormani, “Third-order methods from quadrature formulae for solving systems of nonlinear equations,” Appl. Math. Comput, vol. 149, pp. 771-782, 2004.
[4]. J. E. Dennis, and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear. Prentice Hall, Inc., Englewood Cliffs, NJ, 1983.Refbacks
- There are currently no refbacks.